Actually, the question is ambiguous because you do not offer all of the choices most of the people on this board would consider. (Review some of the recent polls and the posts of the people who didn't vote -- it's usually because the question was worded in a way that limits their understanding of the situation, or forces them into an unrealistic supposition due to a limitation of facts.)

I think before you can expect a serious answer, you should stipulate why the two types of matter cannot come into existence at the same time, or why one has to come before the other. This would be similar, I think, to trying to discover which type of electrical attraction appeared first -- positive or negative. There is no reason to think or believe that one came first rather than the two coming into existence at the same time.

As far as the big bang theory and dark matter are concerned, I was not aware that dark matter was a component of the big bang theory. I thought it was part of the theory of relativity. If that is true, the big bang theory might not have a distinction between normal and dark matter as a part of its definition, making your question a moot point.

Does anyone out there with more knowledge in these theories have something to add? I for one would like to know if I've got it wrong.